US2025317168A1PendingUtilityA1

Method and apparatus for transmission based on multiple input and multiple output in line-of-sight channel environment

Assignee: ELECTRONICS & TELECOMMUNICATIONS RES INSTPriority: Apr 9, 2024Filed: Dec 26, 2024Published: Oct 9, 2025
Est. expiryApr 9, 2044(~17.7 yrs left)· nominal 20-yr term from priority
H04B 7/0639H04B 7/0617H04B 7/0456H04B 7/0478
61
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Claims

Abstract

A method of a first communication node may comprise: obtaining a channel matrix or a plurality of phase vectors based on predetermined line-of-sight multiple input multiple output (LOS MIMO) channel configuration information; determining a precoding matrix satisfying a first condition and a second condition using the channel matrix or the plurality of phase vectors; and transmitting data to a second communication node including a second antenna array by performing beamforming at the first communication node including a first antenna array based on the precoding matrix, wherein the first antenna array includes N elements, the second antenna array includes L elements, and each of L and N is a natural number greater than or equal to 2.

Claims

exact text as granted — not AI-modified
What is claimed is: 
     
         1 . A method of a first communication node, comprising:
 obtaining a channel matrix or a plurality of phase vectors based on predetermined line-of-sight multiple input multiple output (LOS MIMO) channel configuration information;   determining a precoding matrix satisfying a first condition and a second condition using the channel matrix or the plurality of phase vectors; and   transmitting data to a second communication node including a second antenna array by performing beamforming at the first communication node including a first antenna array based on the precoding matrix,   wherein the first antenna array includes N elements, the second antenna array includes L elements, and each of L and N is a natural number greater than or equal to 2.   
     
     
         2 . The method according to  claim 1 , wherein the precoding matrix is calculated using a Hermitian transpose of the channel matrix, and the precoding matrix is expressed as Equation 1-A using the channel matrix, 
       
         
           
             
               
                 
                   
                     
                       P 
                       = 
                       
                         
                           1 
                           
                             N 
                           
                         
                         · 
                         
                           1 
                           
                             L 
                           
                         
                         · 
                         
                           H 
                           H 
                         
                       
                     
                     , 
                   
                 
                 
                   
                     [ 
                     
                       Equation 
                       ⁢ 
                           
                       1 
                       - 
                       A 
                     
                     ] 
                   
                 
               
             
           
         
         wherein P represents the precoding matrix, H represents the channel matrix, and H H  represents the Hermitian transpose of H. 
       
     
     
         3 . The method according to  claim 1 , wherein the precoding matrix is calculated using the plurality of phase vectors, and the precoding matrix is expressed as Equation 1-B using the plurality of phase vectors, 
       
         
           
             
               
                   
                 
                   
                     [ 
                     
                       Equation 
                       ⁢ 
                           
                       1 
                       - 
                       B 
                     
                     ] 
                   
                 
               
             
           
         
         
           
             
               
                 P 
                 = 
                 
                   
                     1 
                     
                       N 
                     
                   
                   · 
                   
                     1 
                     
                       L 
                     
                   
                   · 
                   
                     [ 
                     
                       
                         
                           
                             exp 
                             ⁢ 
                             
                               ( 
                               
                                 j 
                                 · 
                                 π 
                                 · 
                                 
                                   ∅ 
                                   1 
                                 
                               
                               ) 
                             
                           
                         
                         
                           
                             exp 
                             ⁢ 
                             
                               ( 
                               
                                 j 
                                 · 
                                 π 
                                 · 
                                 
                                   ∅ 
                                   2 
                                 
                               
                               ) 
                             
                           
                         
                         
                           … 
                         
                         
                           
                             exp 
                             ⁢ 
                             
                               ( 
                               
                                 j 
                                 · 
                                 π 
                                 · 
                                 
                                   ∅ 
                                   L 
                                 
                               
                               ) 
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               , 
             
           
         
         wherein P represents the precoding matrix, and Ø 1 , Ø 2 , . . . , and Ø L  represent the plurality of phase vectors. 
       
     
     
         4 . The method according to  claim 1 , wherein the precoding matrix includes L precoding vectors, the first condition is satisfied when elements of a first precoding vector and elements of a second precoding vector among the L precoding vectors are symmetrical to each other, the precoding matrix is expressed as Equation 1-C, and each of the first precoding vector and the second precoding vector is expressed as Equation 1-D, 
       
         
           
             
               
                 
                   
                     P 
                     = 
                     
                       [ 
                       
                         
                           
                             
                               p 
                               1 
                             
                           
                           
                             
                               p 
                               2 
                             
                           
                           
                             … 
                           
                           
                             
                               p 
                               L 
                             
                           
                         
                       
                       ] 
                     
                   
                 
                 
                   
                     [ 
                     
                       Equation 
                       ⁢ 
                           
                       1 
                       - 
                       C 
                     
                     ] 
                   
                 
               
             
           
         
         
           
             
               
                 
                   
                       
                     
                       
                         
                           p 
                           
                             1 
                             + 
                             k 
                           
                         
                         = 
                         
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     1 
                                   
                                 
                                 
                                   
                                     v 
                                     2 
                                   
                                 
                                 
                                   … 
                                 
                                 
                                   
                                     v 
                                     
                                       N 
                                       - 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     N 
                                   
                                 
                               
                             
                             ] 
                           
                           T 
                         
                       
                       , 
                     
                   
                 
                 
                   
                     [ 
                     
                       Equation 
                       ⁢ 
                           
                       1 
                       - 
                       D 
                     
                     ] 
                   
                 
               
             
           
         
         
           
             
               
                 
                   p 
                   
                     L 
                     - 
                     k 
                   
                 
                 = 
                 
                   
                     
                       [ 
                       
                         
                           
                             
                               v 
                               N 
                             
                           
                           
                             
                               v 
                               
                                 N 
                                 - 
                                 1 
                               
                             
                           
                           
                             … 
                           
                           
                             
                               v 
                               2 
                             
                           
                           
                             
                               v 
                               1 
                             
                           
                         
                       
                       ] 
                     
                     T 
                   
                   ⁢ 
                       
                   
                     ( 
                     
                       
                         k 
                         = 
                         0 
                       
                       , 
                       1 
                       , 
                       … 
                           
                       , 
                       
                         
                           ⌈ 
                           
                             L 
                             / 
                             2 
                           
                           ⌉ 
                         
                         - 
                         1 
                       
                     
                     ) 
                   
                 
               
               , 
             
           
         
       
       wherein P represents the precoding matrix, p 1  p 2  . . . p L  represent the L precoding vectors, p 1+k  represents the first precoding vector, p L−k  represents the second precoding vector, and ┌x┐ is a smallest integer equal to or greater than x. 
     
     
         5 . The method according to  claim 1 , wherein the precoding matrix includes L precoding vectors, the second condition is satisfied when L is odd and elements of a middle precoding vector located in a middle of the L precoding vectors are symmetrical to each other, and the middle precoding vector is expressed as Equation 1-E, 
       
         
           
             
               
                 
                   
                     
                       p 
                       
                         L 
                         - 
                         k 
                       
                     
                     = 
                     
                       
                         [ 
                         
                           
                             
                               
                                 v 
                                 N 
                               
                             
                             
                               
                                 v 
                                 
                                   N 
                                   - 
                                   1 
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 v 
                                 2 
                               
                             
                             
                               
                                 v 
                                 1 
                               
                             
                           
                         
                         ] 
                       
                       T 
                     
                   
                 
                 
                   
                     [ 
                     
                       Equation 
                       ⁢ 
                           
                       1 
                       - 
                       E 
                     
                     ] 
                   
                 
               
             
           
         
         
           
             
               
                 
                   v 
                   1 
                 
                 = 
                 
                   v 
                   N 
                 
               
               , 
               
                 
                   v 
                   2 
                 
                 = 
                 
                   v 
                   
                     N 
                     - 
                     1 
                   
                 
               
               , 
               … 
                   
               , 
               
                 
                   v 
                   
                     
                       ⌈ 
                       
                         L 
                         / 
                         2 
                       
                       ⌉ 
                     
                     - 
                     1 
                   
                 
                 = 
                 
                   v 
                   
                     
                       ⌈ 
                       
                         L 
                         / 
                         2 
                       
                       ⌉ 
                     
                     + 
                     1 
                   
                 
               
               , 
             
           
         
         wherein p ┌L/2┐  represents the middle precoding vector, and └x┘ is a largest integer equal to or less than x. 
       
     
     
         6 . The method according to  claim 1 , wherein the transmitting of the data to the second communication node comprises:
 transmitting a pilot signal to the second communication node;   receiving, from the second communication node, feedback information including information of a precoding matrix for a channel state between the first communication node and the second communication node;   confirming the precoding matrix included in a codebook using the feedback information; and   transmitting the data to the second communication node by performing beamforming based on the precoding matrix included in the codebook.   
     
     
         7 . A method of a second communication node, comprising:
 receiving a pilot signal from a first communication node;   performing an operation of estimating a channel between the first communication node and the second communication node based on the pilot signal to obtain line-of-sight multiple input multiple output (LOS MIMO) channel information;   determining a first precoding matrix based on the LOS MIMO channel information in a codebook including two or more precoding matrixes that satisfy a first condition and a second condition; and   transmitting feedback information including information of the first precoding matrix to the first communication node.   
     
     
         8 . The method according to  claim 7 , wherein the first precoding matrix includes L precoding vectors, the first condition is satisfied when elements of a first precoding vector and elements of a second precoding vector among the L precoding vectors are symmetrical to each other, L is a natural number equal to or greater than 2, the first precoding matrix is expressed as Equation 2-A, and each of the first precoding vector and the second precoding vector is expressed as Equation 2-B, 
       
         
           
             
               
                 
                   
                     
                       P 
                       = 
                       
                         [ 
                         
                           
                             
                               
                                 p 
                                 1 
                               
                             
                             
                               
                                 p 
                                 2 
                               
                             
                             
                               … 
                             
                             
                               
                                 p 
                                 L 
                               
                             
                           
                         
                         ] 
                       
                     
                     , 
                   
                 
                 
                   
                     [ 
                     
                       Equation 
                       ⁢ 
                           
                       2 
                       - 
                       A 
                     
                     ] 
                   
                 
               
             
           
         
         
           
             
               
                 
                   
                       
                     
                       
                         
                           p 
                           
                             1 
                             + 
                             k 
                           
                         
                         = 
                         
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     1 
                                   
                                 
                                 
                                   
                                     v 
                                     2 
                                   
                                 
                                 
                                   … 
                                 
                                 
                                   
                                     v 
                                     
                                       N 
                                       - 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     N 
                                   
                                 
                               
                             
                             ] 
                           
                           T 
                         
                       
                       , 
                     
                   
                 
                 
                   
                     [ 
                     
                       Equation 
                       ⁢ 
                           
                       2 
                       - 
                       B 
                     
                     ] 
                   
                 
               
             
           
         
         
           
             
               
                 
                   p 
                   
                     L 
                     - 
                     k 
                   
                 
                 = 
                 
                   
                     
                       [ 
                       
                         
                           
                             
                               v 
                               N 
                             
                           
                           
                             
                               v 
                               
                                 N 
                                 - 
                                 1 
                               
                             
                           
                           
                             … 
                           
                           
                             
                               v 
                               2 
                             
                           
                           
                             
                               v 
                               1 
                             
                           
                         
                       
                       ] 
                     
                     T 
                   
                   ⁢ 
                       
                   
                     ( 
                     
                       
                         k 
                         = 
                         0 
                       
                       , 
                       1 
                       , 
                       … 
                           
                       , 
                       
                         
                           ⌈ 
                           
                             L 
                             / 
                             2 
                           
                           ⌉ 
                         
                         - 
                         1 
                       
                     
                     ) 
                   
                 
               
               , 
             
           
         
         wherein P represents the first precoding matrix, p 1  p 2  . . . p L  represent the L precoding vectors, p 1+k  represents the first precoding vector, and p L−k  represents the second precoding vector. 
       
     
     
         9 . The method according to  claim 7 , wherein the first precoding matrix includes L precoding vectors, the second condition is satisfied when L is odd and elements of a middle precoding vector located in a middle of the L precoding vectors are symmetrical to each other, L is a natural number equal to or greater than 2, and the middle precoding vector is expressed as Equation 2-C, 
       
         
           
             
               
                 
                   
                     
                       p 
                       
                         L 
                         - 
                         k 
                       
                     
                     = 
                     
                       
                         [ 
                         
                           
                             
                               
                                 v 
                                 N 
                               
                             
                             
                               
                                 v 
                                 
                                   N 
                                   - 
                                   1 
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 v 
                                 2 
                               
                             
                             
                               
                                 v 
                                 1 
                               
                             
                           
                         
                         ] 
                       
                       T 
                     
                   
                 
                 
                   
                     [ 
                     
                       Equation 
                       ⁢ 
                           
                       2 
                       - 
                       C 
                     
                     ] 
                   
                 
               
             
           
         
         
           
             
               
                 
                   v 
                   1 
                 
                 = 
                 
                   v 
                   N 
                 
               
               , 
               
                 
                   v 
                   2 
                 
                 = 
                 
                   v 
                   
                     N 
                     - 
                     1 
                   
                 
               
               , 
               … 
                   
               , 
               
                 
                   v 
                   
                     
                       ⌈ 
                       
                         L 
                         / 
                         2 
                       
                       ⌉ 
                     
                     - 
                     1 
                   
                 
                 = 
                 
                   v 
                   
                     
                       ⌈ 
                       
                         L 
                         / 
                         2 
                       
                       ⌉ 
                     
                     + 
                     1 
                   
                 
               
               , 
             
           
         
         wherein p ┌L/2┐  represents the middle precoding vector. 
       
     
     
         10 . A first communication node comprising at least one processor, wherein the at least one processor causes the first communication node to perform:
 obtaining a channel matrix or a plurality of phase vectors based on predetermined line-of-sight multiple input multiple output (LOS MIMO) channel configuration information;   determining a precoding matrix satisfying a first condition and a second condition using the channel matrix or the plurality of phase vectors; and   transmitting data to a second communication node including a second antenna array by performing beamforming at the first communication node including a first antenna array based on the precoding matrix,   wherein the first antenna array includes N elements, the second antenna array includes L elements, and each of L and N is a natural number greater than or equal to 2.   
     
     
         11 . The first communication node according to  claim 10 , wherein the precoding matrix is calculated using a Hermitian transpose of the channel matrix, and the precoding matrix is expressed as Equation 3-A using the channel matrix, 
       
         
           
             
               
                 
                   
                     
                       P 
                       = 
                       
                         
                           1 
                           
                             N 
                           
                         
                         · 
                         
                           1 
                           
                             L 
                           
                         
                         · 
                         
                           H 
                           H 
                         
                       
                     
                     , 
                   
                 
                 
                   
                     [ 
                     
                       Equation 
                       ⁢ 
                           
                       3 
                       - 
                       A 
                     
                     ] 
                   
                 
               
             
           
         
         wherein P represents the precoding matrix, H represents the channel matrix, and H H  represents the Hermitian transpose of H. 
       
     
     
         12 . The first communication node according to  claim 10 , wherein the precoding matrix is calculated using the plurality of phase vectors, and the precoding matrix is expressed as Equation 3-B using the plurality of phase vectors, 
       
         
           
             
               
                   
                 
                   
                     [ 
                     
                       Equation 
                       ⁢ 
                           
                       3 
                       - 
                       B 
                     
                     ] 
                   
                 
               
             
           
         
         
           
             
               
                 P 
                 = 
                 
                   
                     1 
                     
                       N 
                     
                   
                   · 
                   
                     1 
                     
                       L 
                     
                   
                   · 
                   
                     [ 
                     
                       
                         
                           
                             exp 
                             ⁢ 
                             
                               ( 
                               
                                 j 
                                 · 
                                 π 
                                 · 
                                 
                                   ∅ 
                                   1 
                                 
                               
                               ) 
                             
                           
                         
                         
                           
                             exp 
                             ⁢ 
                             
                               ( 
                               
                                 j 
                                 · 
                                 π 
                                 · 
                                 
                                   ∅ 
                                   2 
                                 
                               
                               ) 
                             
                           
                         
                         
                           … 
                         
                         
                           
                             exp 
                             ⁢ 
                             
                               ( 
                               
                                 j 
                                 · 
                                 π 
                                 · 
                                 
                                   ∅ 
                                   L 
                                 
                               
                               ) 
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               , 
             
           
         
         wherein P represents the precoding matrix, and Ø 1 , Ø 2 , . . . , and Ø L  represent the plurality of phase vectors. 
       
     
     
         13 . The first communication node according to  claim 10 , wherein the precoding matrix includes L precoding vectors, the first condition is satisfied when elements of a first precoding vector and elements of a second precoding vector among the L precoding vectors are symmetrical to each other, the precoding matrix is expressed as Equation 3-C, and each of the first precoding vector and the second precoding vector is expressed as Equation 3-D, 
       
         
           
             
               
                 
                   
                     
                       P 
                       = 
                       
                         [ 
                         
                           
                             
                               
                                 p 
                                 1 
                               
                             
                             
                               
                                 p 
                                 2 
                               
                             
                             
                               … 
                             
                             
                               
                                 p 
                                 L 
                               
                             
                           
                         
                         ] 
                       
                     
                     , 
                   
                 
                 
                   
                     [ 
                     
                       Equation 
                       ⁢ 
                           
                       3 
                       - 
                       C 
                     
                     ] 
                   
                 
               
             
           
         
         
           
             
               
                 
                   
                       
                     
                       
                         
                           p 
                           
                             1 
                             + 
                             k 
                           
                         
                         = 
                         
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     1 
                                   
                                 
                                 
                                   
                                     v 
                                     2 
                                   
                                 
                                 
                                   … 
                                 
                                 
                                   
                                     v 
                                     
                                       N 
                                       - 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     N 
                                   
                                 
                               
                             
                             ] 
                           
                           T 
                         
                       
                       , 
                     
                   
                 
                 
                   
                     [ 
                     
                       Equation 
                       ⁢ 
                           
                       3 
                       - 
                       D 
                     
                     ] 
                   
                 
               
             
           
         
         
           
             
               
                 
                   p 
                   
                     L 
                     - 
                     k 
                   
                 
                 = 
                 
                   
                     
                       [ 
                       
                         
                           
                             
                               v 
                               N 
                             
                           
                           
                             
                               v 
                               
                                 N 
                                 - 
                                 1 
                               
                             
                           
                           
                             … 
                           
                           
                             
                               v 
                               2 
                             
                           
                           
                             
                               v 
                               1 
                             
                           
                         
                       
                       ] 
                     
                     T 
                   
                   ⁢ 
                       
                   
                     ( 
                     
                       
                         k 
                         = 
                         0 
                       
                       , 
                       1 
                       , 
                       … 
                           
                       , 
                       
                         
                           ⌈ 
                           
                             L 
                             / 
                             2 
                           
                           ⌉ 
                         
                         - 
                         1 
                       
                     
                     ) 
                   
                 
               
               , 
             
           
         
         wherein P represents the precoding matrix, p 1  p 2  . . . p L  represent the L precoding vectors, p 1+k  represents the first precoding vector, p L−k  represents the second precoding vector, and ┌x┐ is a smallest integer equal to or greater than x. 
       
     
     
         14 . The first communication node according to  claim 10 , wherein the precoding matrix includes L precoding vectors, the second condition is satisfied when L is odd and elements of a middle precoding vector located in a middle of the L precoding vectors are symmetrical to each other, and the middle precoding vector is expressed as Equation 3-E, 
       
         
           
             
               
                 
                   
                     
                       p 
                       
                         L 
                         - 
                         k 
                       
                     
                     = 
                     
                       
                         [ 
                         
                           
                             
                               
                                 v 
                                 N 
                               
                             
                             
                               
                                 v 
                                 
                                   N 
                                   - 
                                   1 
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 v 
                                 2 
                               
                             
                             
                               
                                 v 
                                 1 
                               
                             
                           
                         
                         ] 
                       
                       T 
                     
                   
                 
                 
                   
                     [ 
                     
                       Equation 
                       ⁢ 
                           
                       3 
                       - 
                       E 
                     
                     ] 
                   
                 
               
             
           
         
         
           
             
               
                 
                   v 
                   1 
                 
                 = 
                 
                   v 
                   N 
                 
               
               , 
               
                 
                   v 
                   2 
                 
                 = 
                 
                   v 
                   
                     N 
                     - 
                     1 
                   
                 
               
               , 
               … 
                   
               , 
               
                 
                   v 
                   
                     
                       ⌈ 
                       
                         L 
                         / 
                         2 
                       
                       ⌉ 
                     
                     - 
                     1 
                   
                 
                 = 
                 
                   v 
                   
                     
                       ⌈ 
                       
                         L 
                         / 
                         2 
                       
                       ⌉ 
                     
                     + 
                     1 
                   
                 
               
               , 
             
           
         
         wherein p ┌L/2┐  represents the middle precoding vector, and └x┘ is a largest integer equal to or less than x. 
       
     
     
         15 . The first communication node according to  claim 10 , wherein in the transmitting of the data to the second communication node, the at least one processor causes the first communication node to perform:
 transmitting a pilot signal to the second communication node;   receiving, from the second communication node, feedback information including information of a precoding matrix for a channel state between the first communication node and the second communication node;   confirming the precoding matrix included in a codebook using the feedback information; and   transmitting the data to the second communication node by performing beamforming based on the precoding matrix included in the codebook.

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